Suppose that * is an associative and commutative binary operation on a set S. Show that H
Question:
Suppose that * is an associative and commutative binary operation on a set S. Show that H = {a ∈ S| a* a = a} is closed under *· (The elements of H are idempotents of the binary operation *·)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (9 reviews)
Let a b H By definition of H we have a a a and b b b Usin...View the full answer
Answered By
Niala Orodi
I am a competent and an experienced writer with impeccable research and analytical skills. I am capable of producing quality content promptly. My core specialty includes health and medical sciences, but I can competently handle a vast majority of disciplines.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Prove that if * is an associative and commutative binary operation on a set S, then for all a, b, c, d S. Assume the associative law only for triples as in the definition, that is, assume only for...
-
Suppose that * is an associative binary operation on a set S. Let H = {a S| a * x = x * a for all x S}. Show that H is closed under * (We think of H as consisting of all elements of S that commute...
-
Either prove the statement or give a counterexample. Every commutative binary operation on a set having just two elements is associative.
-
One type of systematic error arises because people tend to think of benefits in percentage terms rather than in absolute dollar amounts. As an example, Samir is willing to drive 20 minutes out of his...
-
Can you think of any ways in which a typical job could be enlarged or enriched?
-
Modify Solved Problem 10.5 to show that the PPF more closely approximates a quarter of a circle if there are six people. One of these new people, Bill, can produce five cords of wood, or four candy...
-
Martin Ltd has a nominal share capital of 900,000 comprising 900,000 ordinary shares of 1 each. The whole of the capital was issued at par on the following terms: Per share Payable on application 10p...
-
Wild Wheels, Inc., wholesales a line of custom mountain bikes. Wild Wheels inventory, as of November 30, 201 2, consisted of 20 mountain bikes costing $550 each. Wild Wheels trial balance as of...
-
Prepare a classified balance sheet that includes the correct balance for Cash. Dynamic Weight Loss Co. Balance Sheet June 30, 20Y7 Current assets: Total current assets Property, plant, and equipment:...
-
A three-phase motor is used to drive a pump. It is observed (by the use of a stroboscope) that the motor speed decreases from 898r/min when the pump is unloaded to 830 r/min as the pump is loaded. a....
-
Why can there be no isomorphism of U 6 with Z 6 in which = e i(/3) corresponds to 4?
-
Let G be a group and suppose that a * b * c = e for a, b, c G. Show that b * c * a= e also.
-
Living organisms contain a common set of biological ________.
-
Zero, a hypothetical planet, has a mass of 6.0 x 1023 kg, a radius of 2.7 x 106 m, and no atmosphere. A 10 kg space probe is to be launched vertically from its surface. (a) If the probe is launched...
-
Develop a data analysis tool using Python that accepts a list of numeric values as input. Implement functions to calculate various statistical measures such as mean, median, mode, and standard...
-
Carl's firm produces cotton fabrics. He has Fixed costs of about P250,000 and has variable costs of around P400 on a monthly basis. Currently, Carl's firm sells 150 yards of cotton fabrics priced at...
-
Based upon your in-depth knowledge of Lululemon, you are to identify and describe your firm's most persuasive growth opportunity: Your growth opportunity may fall within 1 of the 3 common situations...
-
Parra Building and Construction Ltd ( Parra Ltd ) was born as a small public company by an enterprising individual. Parra Ltd thrived during a period of economic expansion. It has millions in issued...
-
Markowis Corp. has collected the following data concerning its maintenance costs for the past 6 months. Compute the variable- and fixed-cost elements using the high-low method. July August September...
-
What are the two methods used to translate financial statements and how does the functional currency play a role in determining which method is used?
-
1. For each pair of twins, compute the following for the lumbar spine: A = BMD for the heavier-smoking twin BMD for the lighter-smoking twin = x 1 x 2 B = mean BMD for the twinship = (x 1 + x 2 )/2...
-
Answer Problems 13 for BMD for the femoral neck?
-
Answer Problems 13 for BMD for the femoral shaft?
-
Write brief notes to alert the database administrators to the difficulties that they may encounter. [8 marks] SECTION C 9 Semantics of Programming Languages (a) The integer expressions E of a...
-
Investment - End of Chapter Problem Determine if the given people are demanders, suppliers, or not involved in the market for loanable funds. a . Latisha wants to save up for a new laptop to use in...
-
The Nash equilibrium is _ _ _ _ _ _ _ _ _ _ _ _ . A . Make concessions / Not invade.B . Make concessions / Invade . C . Tough / Invade . D . Tough / Not invade.E . There is no Nash equilibrium.
Study smarter with the SolutionInn App